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Finding the Fourth Proportional to 509,425.61, 703,013.78 and 280,007.89

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Solution

The fourth proportional to 509,425.61, 703,013.78 and 280,007.89 is: 386,414.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,425.61 : 703,013.78 = 280,007.89 : x
  2. Step 2: Convert to fraction form
    509,425.61/703,013.78 = 280,007.89/x
  3. Step 3: Cross multiply
    509,425.61x = 703,013.78 × 280,007.89
  4. Step 4: Simplify right side
    509,425.61x = 196,849,404,121.21
  5. Step 5: Solve for x
    x = 196,849,404,121.21/509,425.61
  6. Step 6: Final answer
    x = 386,414.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.